Transcript MB-Ch.19

Ch. 4
DEMAND FOR MONEY
Dr. Mohammed Alwosabi
• Money is what we use when we demand
other goods.
• Demand for money is a question of how
much of wealth individuals wish to hold in
the form of money at any point in time.
• Individuals must decide how to allocate
their wealth between different kinds of
assets, for example a house, incomeearning securities, a checking account,
and cash.
• It is important to note the demand for
money is demand for the actual services
yielded by the possession of a real stock
of money, and not simply a demand for a
nominal amount of cash denominated in
any currency.
•
Cost of holding money
1. Money earns little or no interest. There
is an opportunity cost of holding
money, which is interest rate (or any
type of return) foregone minus
transactions cost
2. Money loses purchasing power to
inflation.
THEORIES OF MONEY DEMAND
First: Quantity Theory of Money
• Quantity theory of money is a classical
theory that related the amount of money
in the economy to nominal income.
• This theory states the changes in the
quantity of money tend to affect the
purchasing power of money inversely,
• That is, with every increase in the
quantity of money, each monetary unit
(such as dinar or dollar) tends to buy a
smaller quantity of goods and services
while a decrease in the quantity of money
has the opposite effect.
• Economist Irving Fisher is given credit for
the development of this theory.
• It begins with an identity known as the
equation of exchange:
MV = PY, Where
• M is the quantity of money (or money
supply).
• V is velocity of money, which serves as
the link between money and output.
• P is the price level.
• Y is aggregate output (aggregate income).
• PY is the total amount of spending on final
goods and services produced in the
economy (aggregate nominal income or
nominal GDP).
• The equation of exchange states that the
quantity of money multiplies by number of
times this money is spent in a given year
must equal to nominal GDP (PY).
• Rearranging the equation of exchange we
get the velocity of money equation
• Velocity of money (V) is the average
number of times per year that a monetary
unit such as dinar or dollar is spent (used)
to buy goods and services produced in the
economy.
• Because this theory tells us how much
money is held for a given amount of
aggregate income, it is also a theory of
demand for money
• The most important feature of this theory
is that it suggests that interest rates have
no effect on the demand for money.
• Example:
If nominal GDP (P x Y) = BD5 Billion and
quantity of money (M) = BD 2 Billion
Then, V=5/2=2.5, which means that the
average Bahraini dinar bill is spent 2.5
times in purchasing final goods and
services.
•
To move towards the quantity theory of
money, Fisher makes two key
assumptions:
1. Fisher viewed V as constant in the
short run because he felt that velocity
is affected by institutions & technology
that change slowly over time.
2. Fisher, like all classical economists,
believed that flexible wages and prices
guaranteed output, Y, to be at its fullemployment level, so Y was also
constant in the short run.
• Putting these two assumptions together
lets look again at the equation of
exchange: MV = PY
• If both V and Y are constant, then
changes in M must cause changes in P to
preserve the equality between MV and PY.
• This is the quantity theory of money: a
change in the money supply, M, results in
an equal percentage change in the price
level P.
• We can further modify this relationship by
dividing both sides by V:
1
M 
 PY
V
Since V is constant we can replace 1/V with
some constant, k, so k= 1/V,
and when the money market is in equilibrium,
Md = M. So our equation becomes
• rewrite the equation as Md = k x PY
•
So under the quantity theory of money,
money demand is a function of income
and does not depend on interest rates.
• According to Fisher, money demand is
determined by
1. the level of transactions generated by
the level of nominal income (PY)
2. the institutions in the economy that
affect the way people conduct
transactions and thus V and k.
•
Second: Keynes’s Theory of Money:
Liquidity Preference Theory
• In 1936, economist John M. Keynes wrote
his influential book, The General Theory
of Employment, Interest Rates, and
Money.
• In this book, he developed his theory of
money demand, known as the liquidity
preference theory, which is a theory of
money demand that emphasized the
importance of interest rate.
• Keynes rejected the classical view that
velocity was a constant.
• In his theory, Keynes believed that there
are three motives for individuals to hold
money: the transaction motive, the
precautionary motive, and the speculative
motive.
Transaction Motive:
• Keynes agreed with the classical theory
that money is used as a medium of
exchange. So people’s demand for money
is for the purpose of transactions; and as
income rises, people have more
transactions and will hold more money.
Precautionary Motive:
• In addition to holding money to carry out
current transactions, Keynes observed
people hold money to be used in future for
unexpected needs and emergencies.
• Since the amount of money held depends
on the amount of transactions people
expect to make, money demand is again
expected to rise with income.
Speculative Motive
• Keynes suggested that people also hold
money as a store of wealth.
• Because wealth is tied closely to income,
the speculative motive for money demand
is related to income.
• Keynes assumed that people stored
wealth with either money or bonds.
• When interest rates are high, rate would
then be expected to fall and bond prices
would be expected to rise. So bonds are
more attractive than money when interest
rates are high. When interest rates are
low, they then would be expected to rise
in the future and thus bond prices would
be expected to fall. So money is more
attractive than bonds when interest rates
are low. So under the speculative motive,
money demand is negatively related to the
interest rate.
• Keynes modeled money demand as the
demand for the real quantity of money
(real balances) (M/P) .
• In other words, if prices double, you must
hold twice the amount of M to buy the
same amount of items, but your real
balances stay the same.
• So people choose a certain amount of real
balances based on the interest rate, and
income:
Md
P
• Thus, Keynes wrote the demand for
money equation (LPF),
d
M
 f ( i ,Y )
P
Md
where,
is the demand for real money
P
balances, i is the interest rate, and Y is the
real income
• The importance of interest rates in the
Keynesian approach is the big difference
between Keynes and Fisher.
• With this difference also come different
implications about the behavior of
velocity.
Md
P
• Consider the two equations: MV = PY and
d
M
 f ( i ,Y )
P
• so M 
PY
in the first equation.
V
• Substituting in the second equation and
recognizing that Md = M (money Supply)
because they must be equal in money
market equilibrium, we solve for velocity:
Y
Y
 f ( i ,Y ) or V 
V
f ( i ,Y )
• This means that under Keynes' theory,
velocity fluctuates with the interest rate.
Since interest rates fluctuate, then
velocity must too.
• In fact, velocity and interest rates will
move in the same direction. Both are procyclical, rising with expansions and falling
during recessions.
• A rise in i encourages people to hold lower
real money balances for a given level of Y.
Therefore, the rate at which money turns
over (V) must be higher.
• Another reason to reject the constancy of
V is because changes in people’s
expectations about the normal level of i
would cause shifts in Md that cause V to
shift as well
Further Development in the Keynesian
Approach
• After World War II, Keynes economic theories
became very influential and other economists
further refined his motives for holding money.
One of these economists, James Tobin, later won
a Nobel Prize for his contributions.
(1) Transaction Demand
• James Tobin and William Baumol both
independently developed similar money
demand model, which demonstrated that
even money balances held for
transactions purposes are related to the
level of i.
• In their models, money, which earns zero
interest, is held only to carry out
transactions.
• In panel (a), the $1,000 payment at the
beginning of the month is held entirely in
cash and is spent at a constant rate until it
is exhausted by end of the month.
• In (b), half of the monthly payment is put
into cash and the other half into bonds.
• At the middle of the month, cash balances
reach zero and bonds must be sold to bring
balances up to $500.
• By the end of the month, cash balances
again dwindle to zero.
• As i increases, the amount of cash held
for transactions purposes will decrease,
which in turn means V will increase as i
increase. The transaction component of
Md is negatively related to the level of i.
• The basic idea in their analysis is that
there is an opportunity cost of holding
money, the interest that can be earned on
other assets.
• There is also a benefit of holding money,
the avoidance of transaction costs.
• Baumol-Tobin model revealed that the
transaction demand for money, and not
just the speculative demand, would be
sensitive to i.
(2) Precautionary Demand
• There is an opportunity cost of holding
money for precautionary purposes. As i
increases the opportunity cost increases
so the holding of money decreases.
• The precautionary Md is negatively related
to i.
(3) Speculative Demand
• One problem with Keynes' speculative
demand is that his theory predicted that
people would hold wealth as either money
or bonds, but not both at once. That is not
realistic.
• Tobin avoided this problem by observing
that not only do people care about the
expected return on asset versus another
when they decide what to hold in their
portfolio, but they also care about the
riskiness of the returns from each asset.
• Tobin assumed that most people are risk
averse that they would be willing to hold
on asset with a lower expected return if it
is less risky.
• So even if the expected returns on bonds
exceed the expected return on money,
people might still want to hold money as a
store of wealth because it has less risk
associated with its return than bond do
• People can reduce risk by diversifying
their portfolio, by holding both money and
bonds simultaneously as stores of wealth.
Third: Friedman’s Modern Quantity Theory
of Money
• Milton Friedman (another Nobel Prize
winner) developed a theory of demand for
money.
• He stated that the Md is influenced by the
same factors that influence the demand
for any asset. He then applied the theory
of asset demand to money.
• The theory of asset demand indicates that
the demand for money should be a
function of (1) the resources available to
individuals (their wealth) and (2) the
expected returns on other assets relative
to the expected return on money.
• Friedman’s demand function for real
money balances is
d
M
e
 f ( Y p , rb  rm , re  rm ,   rm )
P
Where
M d is the demand for real balances,
p
Yp is permanent income (expected average of long
run income) which is Friedman’s measure of
wealth,
r m is the expected return on money,
rb is the expected return on bonds,
re is the expected return on equity, and
πe is the expected inflation rate
• Money demand is positively related to
permanent income. Since permanent
income is a long-run average, it is more
stable than current income, so this will
not be the source of a lot of fluctuation in
money demand
• The other terms in Friedman's money
demand function are the expected returns
on bonds, stocks and goods relative to the
expected return on money (rb – r m, re - r m,
and πe - r m)
• These items are negatively related to
money demand: the higher the returns of
bonds, equity and goods relative to the
expected return on money, the lower the
quantity of money demanded.
• For example, If the expected inflation rate
is 10%, then goods prices are expected to
increase at a 10% rate and their expected
return is 10%. If this expectation
increases the relative expected return on
money decreases and Md decreases as
well.
• Friedman did not assume the return on
money to be zero. The return on money
depends on the services provided on bank
deposits (check cashing, bill paying, etc)
and the interest on some checkable
deposits.
Distinguishing between the Friedman and
Keynesian Theories
• When comparing the money demand
frameworks of Friedman and Keynes,
several differences arise
1. While Keynes put all financial assets in
one category – bonds - because he felt
that their returns generally move
together, Friedman introduces several
assets as alternative to money and
considers multiple relative rates of
return to be important
2. Friedman viewed money and goods as
substitutes. People choose between
them when deciding how much money to
3. Friedman viewed permanent income as
more important than current income in
determining money demand
4. Friedman believed that changes in
interest rates have little effect on the
expected returns on other assets
relative to money. Thus, in contrast to
Keynes he viewed interest rate has
insignificant impact on Md .
5. Friedman differed from Keynes in
stressing that the Md function does not
undergo substantial shifts and is
therefore stable. Therefore, Friedman’s
Md function depends essentially on Yp
•
In contrast to Keynes, Friedman
suggested that random fluctuations in
the Md are small and Md can be
predicted accurately by Md function.
When this combined with his view that
the Md is insensitive to changes in i, this
means that V is highly predictable
Y
V
f (Yp )
•
Because the relationship between Y and
Yp is usually predictable, V is also
predictable.
• In brief,
• Keynesians: generally argue that Md
relatively unstable (implying great
variability in velocity) and MS effectively
endogenous beyond authorities’
control. They Play down the importance
of Monetary Policy per se and advocate
superiority of Fiscal Policy.
• Monetarists: generally argue that Md is
relatively stable (implying stable if not
constant velocity) and monetary
authorities can control MS effectively,
reinforcing belief in efficacy of Monetary
policy.
•
However, There is a broad agreement
that
1. Income (however defined) is positively
related to Md;
2. Interest rate is negatively related with
Md.
3. These two relations are supported by
almost all empirical evidence, but
considerable variation in values of
regression coefficients.
CONCLUSION
•
In conclusion, economists identify three
reasons why people will demand money,
or desire to hold a certain stock of
money.
1. Transactions Motive:
• The main reason people hold money is
its function as medium of exchange. We
expect to use money to buy something
sometime soon. In other words, we
expect to make transactions for goods or
services.
•
The transactions demand for money depends on
three things:
a. Aggregate income: If income increases
so do people’s expenditures to buy
output produced in the goods markets,
and clearly there will be a larger volume
of transactions. Thus, people will need
to hold a larger volume of money to meet
these transactions and make payments.
The opposite is true.
b. Price level: as the overall price level of
goods and services changes,
transactions demand will change with it.
If prices rise, then people will need to
hold a higher level of money balances to
meet their payments transactions. If
prices fall, people will need a lower
volume of money balances to support a
given level of transactions.
c. Interest rate: Holding money is just one
of many ways to hold wealth. There are
alternative forms to hold wealth such as
savings deposits, certificate of deposits,
mutual funds, stock, or even real estate.
For many of these alternative assets,
interest payments, or some type of
positive rate of return, may be obtained.
Most assets that considered money,
such as currency and most checking
account deposits do not pay any
interest, and some such as NOW account
earn low interest. Thus, holding money is
costly.
•
To hold money implies giving up the
opportunity of holding other assets that
pay interest. It is likely that as average
interest rates rise, the opportunity cost
of holding money for all money holders
will also rise, and vice versa. As the cost
of holding money rises, people should
demand less money.
2. Precautionary Motive:
• People hold money balances for the
cases of unforeseen expenditures and in
case of emergency such as unforeseen
medical bill, unexpected accidents in
properties. Although the precautionary
motive varies between individuals, it is
reasonable to expect that in the
aggregate, it is related to income and to
price level.
3. Speculative Motive for Holding Money
• "Speculative" simply means speculating
that the value of an asset will change
and you can profit by it.
• Usually we think of speculating in terms
of buying an asset: if an investor expects
that real estate in Bahrain is about to
rise in value, he might buy some now in
hope of selling after the price rises. But
if he thinks that an asset's price is about
to fall, he can also speculate by holding
cash, so that he can buy it after the price
drops.
•
•
In general, when interest rates are high,
people speculate that they will not stay
high, but will fall. If this is the case, then
people will demand less money holdings
and move into bonds. When (or if)
interest rates do fall, their bonds will
rise in value.
But, if interest rates are low, people
expect that they will go up. So they
prefer to hold on to money balances, and
will move out of bonds, for fear that the
value of those bonds will fall when (or if)
interest rates rise in the future.